The Weyl Operator and its Generalization

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The Weyl Operator and its Generalization

種類:

電子ブック

責任表示:

by Leon Cohen

出版情報:

Basel : Springer Basel : Imprint: Birkhäuser, 2013

著者名:

シリーズ名:

Pseudo-Differential Operators, Theory and Applications ; 9

ISBN:

9783034802949 [3034802943]

ローカル注記:

岐阜大学構成員専用E-BOOKS (Gifu University members only)

オンライン

http://dx.doi.org/10.1007/978-3-0348-0294-9

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詳細

主題:

Mathematical Physics; Mathematics; Operator Theory; Partial Differential Equations

分類・件名:

DC23 : 515.353
LCSH : Mathematics
LCSH : Operator theory
LCSH : Differential equations, partial
FREE : Mathematics
FREE : Partial Differential Equations
FREE : Operator Theory
FREE : Mathematical Physics

形態:

XII, 159 p : digital

目次情報:

Introduction
The Fundamental Idea, Terminology, and Operator Algebra
The Weyl Operator
The Algebra of the Weyl Operator
Product of Operators, Commutators, and the Moyal Sin Bracket
Some Other Ordering Rules
Generalized Operator Association
The Fourier, Monomial, and Delta Function Associations
Transformation Between Associations
Path Integral Approach
The Distribution of a Symbol and Operator
The Uncertainty Principle
Phase-Space Distributions
Amplitude, Phase, Instantaneous Frequency, and the Hilbert Transform
Time - Frequency Analysis
The Transformation of Differential Equations into Phase Space
The Representation of Functions
The N Operator Case

Introduction
The Fundamental Idea, Terminology, and Operator Algebra
The Weyl Operator
The Algebra of the Weyl Operator
Product of Operators, Commutators, and the Moyal Sin Bracket
Some Other Ordering Rules

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書誌ID:

KB00010155

内容紹介

目次情報

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